Conical instabilities on paper

Details Conical instabilities on paper Conical instabilities on paper

2011-07-25

arxiv.org/abs/1107.5008v2

J. Phys. A: Math. Theor., 45(1): 015203, 2012

Physics

Condensed Matter

Soft Condensed Matter

25 pages, 6 figures

Scientific paper

10.1088/1751-8113/45/1/015203

The stability of the fundamental defects of an unstretchable flat sheet is examined. This involves expanding the bending energy to second order in deformations about the defect. The modes of deformation occur as eigenstates of a fourth-order linear differential operator. Unstretchability places a global linear constraint on these modes. Conical defects with a surplus angle exhibit an infinite number of states. If this angle is below a critical value, these states possess an n-fold symmetry labeled by an integer, n \geq 2. A nonlinear stability analysis shows that the 2-fold ground state is stable, whereas excited states possess 2(n - 2) unstable modes which come in even and odd pairs.

Affiliated with

Also associated with

No associations

Rating

Conical instabilities on paper does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Conical instabilities on paper, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Conical instabilities on paper will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-573465